12200232013000 has 128 divisors (see below), whose sum is σ = 28851846266880. Its totient is φ = 4828455878400.

The previous prime is 12200232012979. The next prime is 12200232013003. The reversal of 12200232013000 is 31023200221.

12200232013000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12200232013000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12200232013003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46478122 + ... + 46739878.

It is an arithmetic number, because the mean of its divisors is an integer number (225405048960).

Almost surely, 2^{12200232013000} is an apocalyptic number.

12200232013000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12200232013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14425923133440).

12200232013000 is an abundant number, since it is smaller than the sum of its proper divisors (16651614253880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12200232013000 is a wasteful number, since it uses less digits than its factorization.

12200232013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262272 (or 262258 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12200232013000 its reverse (31023200221), we get a palindrome (12231255213221).

The spelling of 12200232013000 in words is "twelve trillion, two hundred billion, two hundred thirty-two million, thirteen thousand".